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Temka [501]
3 years ago
12

Does anyone know the answer to this?​

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0

Answer:

it might be 48 seeing that 1/4 of df is dz so add zf to it and df should equal 48

Step-by-step explanation:

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A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is
koban [17]

The expected length of code for one encoded symbol is

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha

where p_\alpha is the probability of picking the letter \alpha, and \ell_\alpha is the length of code needed to encode \alpha. p_\alpha is given to us, and we have

\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}

so that we expect a contribution of

\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375

bits to the code per encoded letter. For a string of length n, we would then expect E[L]=1.375n.

By definition of variance, we have

\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2

For a string consisting of one letter, we have

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4

so that the variance for the length such a string is

\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859

"squared" bits per encoded letter. For a string of length n, we would get \mathrm{Var}[L]=1.859n.

5 0
3 years ago
If the measure of angle a is 112 the measure of angle b is 112. True or false.
den301095 [7]

Answer:

False

Step-by-step explanation:

Angles a and b add to 180° (linear pair), so angle b is 68°.

7 0
2 years ago
I need to know how to describe the parts of the expression (3x-2)
zalisa [80]

Answer:

If the arrow is pointing to the -2, that’s the constant.

If the arrow is pointing at x, that’s the variable.

If the arrow is pointing at 3, that’s the coefficient.

5 0
3 years ago
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prisoha [69]

Answer:

I think its 4,600,000‬

Step-by-step explanation:

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2 years ago
Which is a pair of vertical angles?
Arte-miy333 [17]

Answer:

The first one is

Step-by-step explanation:

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3 years ago
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